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The incenter of a triangle as a cone isoperimetric center
Incenter isoperimetric problem optimization center
2011/3/1
We show that the the image of the regular projection of a vertex of a cone over a triangle
that minimizes the ratio of the cube of the area of the boundary of the cone and the square
of the volume o...
On the dual of the mobile cone
the mobile cone math
2010/11/24
We prove that the cone of mobile divisors and the cone of curves birationally movable in codimension $1$ are dual in the $(K+B)$-negative part for a klt pair $(X/Z,B)$. We also prove the structure th...
We describe a geometric–combinatorial algorithm that allows one, using solely the system of weights and roots, to determine the Hesselink strata of the null-cone of a linear representation of a reduct...